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Finding the Fourth Proportional to 8,194.47, 12,291.78 and 2,647.81

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Solution

The fourth proportional to 8,194.47, 12,291.78 and 2,647.81 is: 3,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.47 : 12,291.78 = 2,647.81 : x
  2. Step 2: Convert to fraction form
    8,194.47/12,291.78 = 2,647.81/x
  3. Step 3: Cross multiply
    8,194.47x = 12,291.78 × 2,647.81
  4. Step 4: Simplify right side
    8,194.47x = 32,546,335.53
  5. Step 5: Solve for x
    x = 32,546,335.53/8,194.47
  6. Step 6: Final answer
    x = 3,971.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.